On the GFF with one free boundary condition

doi:10.1016/j.spl.2022.109699

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	On the GFF with one free boundary condition
	Han, Yong 1; Wang, Yuefei 1,2; Wang, Zipeng 3
	2023-02-01
发表期刊	STATISTICS & PROBABILITY LETTERS
ISSN	0167-7152
卷号	193 页码:8
摘要	In this note, we shall obtain an explicit formula on the probability of the level line of the Gaussian Free Field (GFF) with mixed boundary condition terminating at the free boundary, which generalizes the results of GFF with Dirichlet boundary condition. Our proof of the main result relies on both the martingale methods, and finding out the explicit form of the solution of the partial differential equation derived from the Ito's calculus with extra efforts.(c) 2022 Elsevier B.V. All rights reserved.
关键词	SLE? Level line of GFF Mixed boundary conditions
DOI	10.1016/j.spl.2022.109699
收录类别	SCI
语种	英语
资助项目	NSF of China ; NSF of Chongqing ; [12131016] ; [12201419] ; [CSTB2022BSXM- JCX0088] ; [CSTB2022NSCQ-MSX0321]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000875779100001
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60818
专题	中国科学院数学与系统科学研究院
通讯作者	Han, Yong
作者单位	1.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
推荐引用方式 GB/T 7714	Han, Yong,Wang, Yuefei,Wang, Zipeng. On the GFF with one free boundary condition[J]. STATISTICS & PROBABILITY LETTERS,2023,193:8.
APA	Han, Yong,Wang, Yuefei,&Wang, Zipeng.(2023).On the GFF with one free boundary condition.STATISTICS & PROBABILITY LETTERS,193,8.
MLA	Han, Yong,et al."On the GFF with one free boundary condition".STATISTICS & PROBABILITY LETTERS 193(2023):8.